- #1

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1. If A is a 4x4 matrix and a1+a2=a3+2a4, then A must be singular.

2. If A is row equivalent to both B and C, then A is row equivalent to B+C.

My Work:

1. I say it's False because A is nonsingular. But I don't know how to show an example of it.

2. I say it's False. I know that If A is row equivalent to B, and B is row equivalent to C, then A is row equivalent to C. I don't know how to show an example for 2 neither.